1156006080 has 280 divisors, whose sum is σ = 4161629472. Its totient is φ = 304570368.

The previous prime is 1156006079. The next prime is 1156006087. The reversal of 1156006080 is 806006511.

1156006080 is a `hidden beast` number, since 1 + 1 + 56 + 0 + 0 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1156006087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2669544 + ... + 2669976.

Almost surely, 2^1156006080 is an apocalyptic number.

1156006080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1156006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080814736).

1156006080 is an abundant number, since it is smaller than the sum of its proper divisors (3005623392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1156006080 is a wasteful number, since it uses less digits than its factorization.

1156006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1156006080 is about 34000.0894116471. The cubic root of 1156006080 is about 1049.5103022631.

The spelling of 1156006080 in words is "one billion, one hundred fifty-six million, six thousand, eighty".